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Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization

The space subdivision in cells resulting from a process of random nucleation and growth is a subject of interest in many scientific fields. In this paper, we deduce the expected value and variance of these distributions while assuming that the space subdivision process is in accordance with the premises of the Kolmogorov-Johnson-Mehl-Avrami model. We have not imposed restrictions on the time dependency of nucleation and growth rates. We have also developed an approximate analytical cell size probability density function. Finally, we have applied our approach to the distributions resulting from solid phase crystallization under isochronal heating conditions

© Physical Review B, 2008, núm. 78, p.144101

American Physical Society

Author: Farjas Silva, Jordi
Roura Grabulosa, Pere
Date: 2008
Abstract: The space subdivision in cells resulting from a process of random nucleation and growth is a subject of interest in many scientific fields. In this paper, we deduce the expected value and variance of these distributions while assuming that the space subdivision process is in accordance with the premises of the Kolmogorov-Johnson-Mehl-Avrami model. We have not imposed restrictions on the time dependency of nucleation and growth rates. We have also developed an approximate analytical cell size probability density function. Finally, we have applied our approach to the distributions resulting from solid phase crystallization under isochronal heating conditions
Format: application/pdf
ISSN: 1098-0121 (versió paper)
1550-235X (versió electrònica)
Document access: http://hdl.handle.net/10256/7508
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevB.78.144101
Articles publicats (D-F)
Is part of: © Physical Review B, 2008, núm. 78, p.144101
Rights: Tots els drets reservats
Subject: Cristal·lització
Crystallization
Kolmogorov-Johnson-Mehl-Avrami, Teoria de
Kolmogorov-Johnson-Mehl-Avrami theory
Title: Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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